1. Grade 10 Academic (MPM2D) Unit 1: Linear System Slope and Linear Relations
Mr. Choi
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2. Slope and Linear Relations
The slope of a line, m, is a measure of how steep a line is
The greater the magnitude of m, the steeper the line.
A line with positive slope rises to the right, while a line with a negative slope falls to the right.
Slope and Linear Relations
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3. Equation of Line (Two forms)
Slope and Linear Relations
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4. Example 1: Determine the slope of AB where A(4, -13) and B(-5, 5)
Slope and Linear Relations
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5. Example 2: Determine the intercepts, slope and make a sketch of each of the following:
Given Standard Form of a line!!
Slope and Linear Relations
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6. Example 2: Continued Determine the intercepts, slope and make a sketch of each of the following:
Given Slope-Intercept Form of a line!!
Slope and Linear Relations
© 2016 E. Choi – MPM2D - All Rights Reserved

7. Example 2: Continued Determine the intercepts, slope and make a sketch of each of the following:
Given Standard form of a line!!
Slope and Linear Relations
© 2016 E. Choi – MPM2D - All Rights Reserved

8. Example 2: Continued Determine the intercepts, slope and make a sketch of each of the following:
Given Slope Intercept form or Standard form of a line!!
Slope and Linear Relations
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9. Example 2: Continued Graphs of Example 2
Slope and Linear Relations
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10. Example 3: Determine the equation of the line that has a slope of 2 and passes through (-2, 5). Sketch the line. (Standard form and Slope-Intercept form)
Slope and Linear Relations
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11. Example 4: Determine the equation of the line that passes through (2, 6) and (-1, 7). (Standard form and Slope-Intercept form)
Slope and Linear Relations
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12. Example 5: Write an equation for the line that is: a)
Example 5: Write an equation for the line that is: a) Parallel to y = 5 and passes through (-1, 2) .
y = 5 is a horizontal line
Slope and Linear Relations
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13. Parallel to y – axis is a vertical line
Example 5: Continued Write an equation for the line that is: b) Parallel to y-axis and passes through (1, -2).
Parallel to y – axis is a vertical line
Slope and Linear Relations
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14. Example 5: Continued Write an equation for the line that is: c) Perpendicular to and passes through (1, -1)
Slope and Linear Relations
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15. Homework
Worksheet Review Linear Relations (Odd #) or (All) if no text book given out yet!! Text: P. 26 1odd, 2cc, 4odd, 5odd, 6 P. 28 #1-6 Check the website for updates
Slope and Linear Relations
© 2016 E. Choi – MPM2D - All Rights Reserved

16. End of lesson Slope and Linear Relations
© 2016 E. Choi – MPM2D - All Rights Reserved